I study mathematics-economics in the second year of a bachelor
programme: I’m one month into the...
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I study mathematics-economics in the second year of a bachelorprogramme: I’m one month into the course “Analysis Iâ€. I would liketo get more familiar with certain subjects. For a reasonable answerfor this Q&A, I’d like a formal definition, a simpleexample/proof and summary of the mentioned subject.
The subject is differentiability of one real function ofone variable.
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DefinitionIn calculus a branch ofmathematics a differentiable function of one real variable is afunction whose derivative exists at each point in its domain As aresult the graph of a differentiable function must have anonvertical tangent line
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